Matrix Formulae of Differential Resultant for First Order Generic Ordinary Differential Polynomials

DOI10.1007/978-3-662-43799-5_32zbMath1347.12003arXiv1204.3773OpenAlexW2116526720MaRDI QIDQ2799577

Zhi Yong Zhang, Xiao-Shan Gao, Chun-Ming Yuan

Publication date: 12 April 2016

Published in: Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3773

zbMATH Keywords

differential resultantsparse resultantMacaulay resultantmatrix formula

Mathematics Subject Classification ID

Abstract differential equations (12H20) Solving polynomial systems; resultants (13P15)

Related Items (4)

Differential elimination by differential specialization of Sylvester style matrices ⋮ Elimination theory in differential and difference algebra ⋮ Index reduction of differential algebraic equations by differential Dixon resultant ⋮ Sparse differential resultant for Laurent differential polynomials

Cites Work

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• Linear sparse differential resultant formulas
• Linear complete differential resultants and the implicitization of linear DPPEs
• On the Newton polytope of the resultant
• A resultant theory for the systems of two ordinary algebraic differential equations
• Efficient incremental algorithms for the sparse resultant and the mixed volume
• Macaulay style formulas for sparse resultants
• Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form
• A subdivision-based algorithm for the sparse resultant
• Ore subresultant coefficients in solutions

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